1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lbvjy [14]
3 years ago
10

A closed rectangular box with a sqaure

Mathematics
1 answer:
deff fn [24]3 years ago
6 0

Answer:

  4 inches on each edge of the cube

Step-by-step explanation:

A closed box will have minimum area when it is a cube. For a volume of 64 in^3, the edge length must be ∛64 = 4 inches.

_____

Using derivatives, the base edge length can be defined as x, and the surface area as ...

  S = 2x^2 + 4x(64/x^2)

This is minimized when dS/dx = 0:

  dS/dx =- 4x -256/x^2 = 0

  x^3 = 64

  x = ∛64 = 4 . . . . . should look familiar

You might be interested in
What is the area of the following circle <br> R=7
In-s [12.5K]

Answer:

153.86

Step-by-step explanation:

7^2 x 3.14

5 0
3 years ago
Read 2 more answers
A bag has 4 Green marbles, 3 Red marbles, and 3 Yellow marbles. what is the probability that you pick a red marble, do not repla
Arte-miy333 [17]
Your probability is a 30% chance of picking up a red marble then when getting a yellow one you have a 33.3% and so on of 3s chance of picking a yellow one 

very low in my opinion 

:D
3 0
3 years ago
A) equal lines<br> B) parallel lines<br> C) perpendicular lines<br> D) None of the above
Nat2105 [25]
I think the answer is D, None of the above
8 0
3 years ago
Read 2 more answers
HELP ME FOR NUMBER 1 THROUGH 8 QUICKLY
Slav-nsk [51]
I did this last semester and I would remember it but unfortunately this was the only section I didn't study for the final bc we did one day on it. I'm sorry. Good luck.
6 0
3 years ago
Anyone who answers both questions will get brainliest! ​
patriot [66]
Here is my theory. I did not use the Pythagorean Theorem. I used basic cross multiplication.

z = 25
t = 24
8 0
2 years ago
Read 2 more answers
Other questions:
  • How much sales tax should be added to the price of goods that sell for $15.00 if the tax rate is 6%?
    6·2 answers
  • WILL MARK BRAINLIEST If you knew the exact values of the data points for this data set, which measure of center (the mean or med
    5·1 answer
  • A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49. A batch of muffins uses 3/4 cup of sugar. How many wh
    12·1 answer
  • Find S11 for 1 + 2 + 4 + 8 + …
    9·1 answer
  • William is reading a book for class. The book is 94 pages long. For the first assignment, William read 25 pages. For the second
    10·2 answers
  • I need the answer so I can pass the first semester‍♀️
    6·1 answer
  • A,B,C, or D. Which one?
    12·1 answer
  • Please hurry!
    12·1 answer
  • Can anyone please help me answer this Math Question ? As soon as possible !!
    6·1 answer
  • How is the quotient of 714 and 17 determined using an area model?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!